instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose 5*v - 4 = 6. Suppose 0 = -5*j - 4*y + 6, y - v = j - 2*j. Let w(i) be the third derivative of -i**5/60 + 6*i**2. Calculate w(j).\n | -4\n | ibivibiv/math_instruct | |
Which is smaller: 28/43 or 1?\n | 28/43\n | ibivibiv/math_instruct | |
Let u = -7.96 - -8. Let h = u - 0.14. What is the closest to h in -0.4, 1, -1?\n | -0.4\n | ibivibiv/math_instruct | |
Suppose -s + 44 = 38. Solve -5*h - 16 = -s for h.\n | -2\n | ibivibiv/math_instruct | |
Determine r so that 117*r**3 - 9132*r**2 - 8895*r + 9954 = 0.\n | -21/13, 2/3, 79\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 427343?\n | 4\n | ibivibiv/math_instruct | |
What is the product of -3531 and 18?\n | -63558\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-44.4 * -40.494 | 1797.9336 | ibivibiv/math_instruct | |
Let l = -13 - -5. Suppose -4*p - 2 = -n + 4, 0 = 2*p + 6. Let i = l - n. Which is smaller: i or -4/7?\n | i\n | ibivibiv/math_instruct | |
Let p = -4 + 6. Let r(f) = -3*f**2 + 3*f**2 - f**2 + 8*f - 5 + 2*f**p. Is r(-10) prime?\n | False\n | ibivibiv/math_instruct | |
What is -212 (base 6) in base 3?\n | -2222\n | ibivibiv/math_instruct | |
b"What is the gth term of 1467, 11705, 39437, 93393, 182303?\n" | 1455*g**3 + 17*g**2 + 2*g - 7\n | ibivibiv/math_instruct | |
Suppose 5*b - 15 = -2*x, 2*x - b + 6 = 3*x. Solve -15*y + x = -14*y for y.\n | 5\n | ibivibiv/math_instruct | |
Calculate the remainder when 1793 is divided by 159.\n | 44\n | ibivibiv/math_instruct | |
Simplify (-1 + 2 + sqrt(468))**2 - sqrt(468).\n | 6*sqrt(13) + 469\n | ibivibiv/math_instruct | |
Suppose 0 = -g + 4 + 96. Suppose 4*f + 28 = g. What is the units digit of f?\n | 8\n | ibivibiv/math_instruct | |
Let i be (-12)/(-28) - (-75)/21. Suppose i*n = 7*n - 6. Let o(z) = z**3 - 4*z**2 + 3*z - 3. Determine o(n).\n | -5\n | ibivibiv/math_instruct | |
Let d(u) be the first derivative of u**5 + 7*u + 7. Differentiate d(o) wrt o.\n | 20*o**3\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 54 and 76842.\n | 54\n | ibivibiv/math_instruct | |
Factor y**3/11 + 86*y**2/11 - 9695*y/11 + 191100/11.\n | (y - 35)**2*(y + 156)/11\n | ibivibiv/math_instruct | |
What is 21543145 to the power of 1/2, to the nearest integer?\n | 4641\n | ibivibiv/math_instruct | |
Let d(g) = -10*g - 384. Let w be d(-38). What is the hundreds digit of 3*(-19340)/(-30)*(-2)/w?\n | 9\n | ibivibiv/math_instruct | |
b"What is the ith term of 477, -366, -2687, -7224, -14715, -25898, -41511?\n" | -123*i**3 - i**2 + 21*i + 580\n | ibivibiv/math_instruct | |
What is the nearest to -114 in -0.4, 3, -5?\n | -5\n | ibivibiv/math_instruct | |
Evaluate -3 - (-13 + (2 - -5)).\n | 3\n | ibivibiv/math_instruct | |
Simplify ((w*w*w*w**10)/(w**(1/6)*w))**42*(w**(2/5))**(-25/4)/((((w*w**(-1)*w)/w*w)/w)/(w**7*w)) assuming w is positive.\n | w**(1005/2)\n | ibivibiv/math_instruct | |
Let h = -76.6 - -76.5772. Let x = -0.02279308 - h. What is x rounded to 7 dps?\n | 0.0000069\n | ibivibiv/math_instruct | |
Suppose 2*n + 5*d = 5*n - 86, d = -2*n + 66. What is the remainder when 62 is divided by n?\n | 30\n | ibivibiv/math_instruct | |
Let p(y) = 6*y**3 - 6*y**2 - 4*y - 9. Let x(r) = -r**3 + r + 1. Let m(v) = p(v) + 5*x(v). Let z = 537 - 272. Let j = -259 + z. Give m(j).\n | 2\n | ibivibiv/math_instruct | |
Calculate (((-34452)/(-145))/27)/((-2)/5).\n | -22\n | ibivibiv/math_instruct | |
Simplify (f*f**2)**(16/5)/(f*f**(-6)*f**3) assuming f is positive.\n | f**(58/5)\n | ibivibiv/math_instruct | |
Suppose -j + s = -6*j - 22, -12 = j + 4*s. Sort -82, -3, j.\n | -82, j, -3\n | ibivibiv/math_instruct | |
Calculate prob of picking 4 w when four letters picked without replacement from {x: 4, w: 10}.\n | 30/143\n | ibivibiv/math_instruct | |
-37 (base 14) to base 16\n | -31\n | ibivibiv/math_instruct | |
In base 3, what is -100120021222020122 - 1?\n | -100120021222020200\n | ibivibiv/math_instruct | |
Calculate (5/((-150)/5))/((-55)/(-10)).\n | -1/33\n | ibivibiv/math_instruct | |
Let i = 445.4 + -1036. Let d = i + 591. What is the smallest value in d, 4/3, 1/4, -1?\n | -1\n | ibivibiv/math_instruct | |
Are 41/2 and -0.2834 equal?\n | False\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 o and 1 i when three letters picked without replacement from {o: 3, i: 4}.\n | 12/35\n | ibivibiv/math_instruct | |
b"What is the qth term of 22205623, 22205653, 22205683?\n" | 30*q + 22205593\n | ibivibiv/math_instruct | |
Let b = 1.1 - 6.1. Let i = -18479/1960 - 1/1960. Let p = i + 10. What is the biggest value in p, 0.5, b?\n | p\n | ibivibiv/math_instruct | |
Let z = -28.3044 - -0.0044. Does z = -0.1?\n | False\n | ibivibiv/math_instruct | |
Solve 4*n - 4*l - 20 = 0, -1353477 = -n - 5*l - 1353478 for n.\n | 4\n | ibivibiv/math_instruct | |
List the prime factors of 1133982624.\n | 2, 3, 19, 621701\n | ibivibiv/math_instruct | |
Simplify sqrt(130)/(sqrt(40)/sqrt(4))*-1.\n | -sqrt(13)\n | ibivibiv/math_instruct | |
Is 93 greater than 93?\n | False\n | ibivibiv/math_instruct | |
Simplify ((t**1/t)/t*t)**44*t**(-2/11)/t*t**(-1/2)/t*t**(-1/4)*t/t**0*(t*t**3)/((t**(-2/7)*t)/t) assuming t is positive.\n | t**(725/308)\n | ibivibiv/math_instruct | |
Let a(h) be the third derivative of -7*h**4/24 + h**3/6 + 329*h**2. What is a(-5)?\n | 36\n | ibivibiv/math_instruct | |
What is -2 minus 5085?\n | -5087\n | ibivibiv/math_instruct | |
Let g be 24/54 + 300/(-270). Which is the nearest to g? (a) 3/8 (b) 1/11 (c) 0.12 (d) 0\n | d\n | ibivibiv/math_instruct | |
List the prime factors of (-935182)/(-46) - 201/4623.\n | 2, 5, 19, 107\n | ibivibiv/math_instruct | |
What is 20962.41 rounded to the nearest 100?\n | 21000\n | ibivibiv/math_instruct | |
What is the cube root of 1181992904 to the nearest integer?\n | 1057\n | ibivibiv/math_instruct | |
Which is the third biggest value? (a) -2 (b) -0.219 (c) 0.1\n | a\n | ibivibiv/math_instruct | |
Solve 2*u + 0 = n + 11, -2*u - 237 + 242 = 5*n for u.\n | 5\n | ibivibiv/math_instruct | |
Solve -5 = 3*s + 3 + 4 for s.\n | -4\n | ibivibiv/math_instruct | |
Expand -2*t**4 - 3*t**4 + 4*t**4 + (-5*t**4 + 4*t**4 - t**4)*(3 - 2 + 1) + 0*t**4 - 4*t**4 + 2*t**4 - 4*t + 2*t**4 + 4*t - 28*t**4 + 27*t**4 + 26*t**4.\n | 20*t**4\n | ibivibiv/math_instruct | |
Let k(a) = a + 1. Let j be k(0). Suppose -q + 2 + j = 0. Suppose 6 = q*d - 3*o, -2*d - 2*o - 8 = 2*o. Solve d = -r - r - 5*g - 15, 3*g + 30 = 3*r for r.\n | 5\n | ibivibiv/math_instruct | |
Suppose 2*g = 4*j - 1042, 3807*g - 2*j = 3809*g + 1024. Which is smaller: -514 or g?\n | g\n | ibivibiv/math_instruct | |
Suppose -5*m + r = 19, -3*r = -0*r + 3. What is the biggest value in -5, m, -1, -0.1?\n | -0.1\n | ibivibiv/math_instruct | |
What is the product of -1.23979 and 31?\n | -38.43349\n | ibivibiv/math_instruct | |
986376624 divided by 16\n | 61648539\n | ibivibiv/math_instruct | |
What is the closest to 4 in 0.67, 0.5, 4?\n | 4\n | ibivibiv/math_instruct | |
Suppose 2*d - 6*d = -40. What is the least common multiple of 8 and d?\n | 40\n | ibivibiv/math_instruct | |
What is the third root of 100252026 to the nearest integer?\n | 465\n | ibivibiv/math_instruct | |
Solve p + b = -17, 3*p + 1238*b - 1242*b = -16 for p.\n | -12\n | ibivibiv/math_instruct | |
Let b(t) = t**2 + t + 2. Let f be b(0). Factor f*m**2 + 5*m - 2 - 5*m.\n | 2*(m - 1)*(m + 1)\n | ibivibiv/math_instruct | |
Let r = 0.03 + 0.07. Let h = -802/5 - -161. Put r, -1, 7, h in descending order.\n | 7, h, r, -1\n | ibivibiv/math_instruct | |
Calculate 217 divided by -246.\n | -217/246\n | ibivibiv/math_instruct | |
Let y(z) = z**3 - 6*z**2 + 7*z. Suppose 66 = 5*p + x, -2*p - 4 = -2*x - 28. Let h = p + -8. Give y(h).\n | 10\n | ibivibiv/math_instruct | |
Let h be (-1)/(-2) - (4 - (-204)/(-48)). Let q = -4 - -15/4. Sort q, h, -1 in descending order.\n | h, q, -1\n | ibivibiv/math_instruct | |
Let w be (-27 + 11)*10/(-5). Calculate the highest common divisor of 68 and w.\n | 4\n | ibivibiv/math_instruct | |
Let g(j) = j**2 + 41*j - 283. Let b be g(-47). Let n be (1*-4)/2 + -3. Sort n, b, 2.\n | n, b, 2\n | ibivibiv/math_instruct | |
What is fifty-seven fifths of a litre in millilitres?\n | 11400\n | ibivibiv/math_instruct | |
Suppose -9*k + 24 = -3*k. Suppose -5*o = k*x - 8, -o = -6*o + 3*x + 29. Which is the third smallest value? (a) -1/2 (b) o (c) 0.2\n | b\n | ibivibiv/math_instruct | |
Which is bigger: -8511 or -8509?\n | -8509\n | ibivibiv/math_instruct | |
What are the prime factors of 5845106?\n | 2, 2922553\n | ibivibiv/math_instruct | |
Let d = 9 + -4. Suppose 11 = 3*a + a - s, -d*a + 4*s = 0. Let z be (6 - 2) + a/2. What is the greatest common divisor of 4 and z?\n | 2\n | ibivibiv/math_instruct | |
Let h(i) = 13*i**2 + i + 1. Let x be h(-1). Let n = -9 + x. What is the first derivative of 3 + n*u**3 - 3*u**3 - 2 wrt u?\n | 3*u**2\n | ibivibiv/math_instruct | |
Let y(p) = p**2 - 3*p - 6. Let o(t) = -4*t - 2. Let d be 2/7 - (-16)/(-7). Let q be o(d). Let b be y(q). Calculate the highest common divisor of b and 12.\n | 12\n | ibivibiv/math_instruct | |
What is prob of picking 1 m and 1 x when two letters picked without replacement from {m: 5, x: 2}?\n | 10/21\n | ibivibiv/math_instruct | |
Let n(x) = x**2 - 11*x + 16. Let b(d) = -3*d**2 + 34*d - 46. What is -6*b(p) - 17*n(p)?\n | p**2 - 17*p + 4\n | ibivibiv/math_instruct | |
Simplify (w*w*(w**2/w)/w*w)**(-4/7)/(w**4)**44 assuming w is positive.\n | w**(-1244/7)\n | ibivibiv/math_instruct | |
Let q(f) = -f**3 - 5*f**2 + 2. Let o be q(-5). Suppose 3*u = -o*u + 10. Suppose -n - 4 = -3*b + u, -2*n + 21 = 5*b. What is the units digit of b?\n | 3\n | ibivibiv/math_instruct | |
What is the next term in 1523, 3068, 4613?\n | 6158\n | ibivibiv/math_instruct | |
Let r = 14 + -4. Let y(f) = 10 - r + f. Let a(i) be the first derivative of -i**2 + 1. Determine a(y(b)).\n | -2*b\n | ibivibiv/math_instruct | |
Let y(q) = -3*q**4 - q**3 - q. Let t(w) = 1244*w**4 - 4*w**3 - 2048*w. Let z(a) = t(a) - 4*y(a). What is the second derivative of z(k) wrt k?\n | 15072*k**2\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Area fractal pentagrams II
A simple fractal. How to find the area of it? (only the arms of the star)
Working with pentagrams is quite complicated, I can not solve this.
-
"Only the arms of the star" mean what? – GEdgar N... | The task at hand is to calculate the area of the exterior triangles (henceforth referred to as "arms") of a fractal pentagram. A fractal pentagram is a shape composed of multiple pentagrams within pentagrams, adhering to a set pattern, demonstrating self-similarity at different scales. This explanation will focus on f... | ibivibiv/math_instruct | |
What is the closest to -1 in 2/5, 36/11, -76, -5, -4/7?\n | -4/7\n | ibivibiv/math_instruct | |
Let g = 319 - 317. Suppose -6*r + 8 = -2*r, -4*h + 26 = 5*r. Solve -h*l - 3*f - 29 = g*f, -4*l + 3*f + 11 = 0 for l.\n | -1\n | ibivibiv/math_instruct | |
Two letters picked without replacement from pogupgddggd. What is prob of picking 2 d?\n | 3/55\n | ibivibiv/math_instruct | |
Calculate prob of picking 4 r when four letters picked without replacement from grrrrgr.\n | 1/7\n | ibivibiv/math_instruct | |
Simplify 1*(sqrt(385)/(sqrt(539) - sqrt(11)))/sqrt(7)*-5.\n | -5*sqrt(5)/6\n | ibivibiv/math_instruct | |
Calculate 2 + (11 - 23) - (-18 - 25).\n | 33\n | ibivibiv/math_instruct | |
Let o = 14 - 4. Let d = o - 8. Let i be (-1)/(2/(1 - 3)). Is i >= d?\n | False\n | ibivibiv/math_instruct | |
Find the third derivative of -824*b + 3808*b**6 + 824*b + 234*b**6 - 2133*b**2 + 376*b**6 wrt b.\n | 530160*b**3\n | ibivibiv/math_instruct | |
Let g(i) = i + 10 - i + i. Let w be g(-8). Suppose -c - 2*f + 3 = 0, 3*f - 7 = -5*c + 8. Solve -3*o = w*n - 1 + c, 5*n + 5 = -5*o for o.\n | 0\n | ibivibiv/math_instruct | |
Convert 455776.8 centuries to years.\n | 45577680\n | ibivibiv/math_instruct | |
(10 - 11)*(-2)/13*-1\n | -2/13\n | ibivibiv/math_instruct | |
Let u(y) be the third derivative of 475*y**4/24 - 5*y**2 - 45*y. Let x(b) = -b. Calculate x(u(j)).\n | -475*j\n | ibivibiv/math_instruct |
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